Practical MATLAB Modeling with Simulink: Programming and Simulating Ordinary and Partial Differential Equations

© Sulaymon L. Eshkabilov 2020

S. L. EshkabilovPractical MATLAB Modeling with Simulinkhttps://doi.org/10.1007/978-1-4842-5799-9_6

6. Implicit ODEs

Sulaymon L. Eshkabilov¹ 

(1)

Ag & Biosystems Engineering Department, North Dakota State University, Fargo, USA

 

Modern theories and methods for solving ODEs have been implemented in a broad range of software applications and tools. The theory of numerical search solution is well understood, and there are robust methods for solving different types of problems. However, the theory of differential algebraic equations (DAEs) has not been studied to the same extent as ODEs. There were some extended studies carried out by Ascher and Petzold [1], but that was in the 1970s. Despite that there are many important applications ...